Atkin-Lehner |
2- 3- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
129744bk |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.2478331223392E+20 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1934571,-743168230] |
[a1,a2,a3,a4,a6] |
j |
268157689840890793/75279476458656 |
j-invariant |
L |
1.045868694161 |
L(r)(E,1)/r! |
Ω |
0.13073363443829 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16218q4 43248n3 |
Quadratic twists by: -4 -3 |